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Finding the Fourth Proportional to 2,814.83, 4,223.15 and 1,353.79

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Solution

The fourth proportional to 2,814.83, 4,223.15 and 1,353.79 is: 2,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.83 : 4,223.15 = 1,353.79 : x
  2. Step 2: Convert to fraction form
    2,814.83/4,223.15 = 1,353.79/x
  3. Step 3: Cross multiply
    2,814.83x = 4,223.15 × 1,353.79
  4. Step 4: Simplify right side
    2,814.83x = 5,717,230.35
  5. Step 5: Solve for x
    x = 5,717,230.35/2,814.83
  6. Step 6: Final answer
    x = 2,031.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.